Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
300 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. C2×#64732 | C2 | semidirect |
| 5. #10602216 | C2 | semidirect |
| 6. #10598304 | C2 | semidirect |
| 7. #10598303 | C2 | semidirect |
| 258. C5 | #13127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2115 | 2 |
| #10602802 | 2 |
| #10602799 | 2 |
| C2×#64732 | 2 |
| #10602216 | 2 |
| #10598304 | 2 |
| #10598303 | 2 |
| #13127 | 5 |